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Finding the Fourth Proportional to 405,457.50, 607,595.75 and 194,849.40

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Solution

The fourth proportional to 405,457.50, 607,595.75 and 194,849.40 is: 291,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,457.50 : 607,595.75 = 194,849.40 : x
  2. Step 2: Convert to fraction form
    405,457.50/607,595.75 = 194,849.40/x
  3. Step 3: Cross multiply
    405,457.50x = 607,595.75 × 194,849.40
  4. Step 4: Simplify right side
    405,457.50x = 118,389,666,355.80
  5. Step 5: Solve for x
    x = 118,389,666,355.80/405,457.50
  6. Step 6: Final answer
    x = 291,990.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.